Module Content

The module covers
  • Vectors and the Geometry of Space ,
  • Vector Functions,
  • Partial Derivatives,
  • and explains how these topics can be applied to
  • Planetary Motion and Satellites,
  • Heat Equation,
  • Hydro-Turbine Optimization.

Module Coordinates

  • Lecturer: Michael Hayes
  • Lectures: Monday 11-12, Wednesday 11-12
  • Tutorials: Tutorials are on Wednesdays @ 3pm in ADB1020.
  • Recomended text: James Stewart, "Calculus"
  • Problem sheet: available here.
  • Module Website: Information and module documents will be posted to this site, which is linked from the Blackboard MA211 Calculus pages. Blackboard will also be used for announcements and for posting grades.

Module Assessment

  • End of semester examination: 50%.
  • Continuous assessment: 30%.
  • Communications skils: 20%.

Supplementary Material and News

A model paper is avaialble here.

Clicker opinion polling may be used in some lectures.

Lecture Notes

Lecture Notes
(click on number)

Lecture Summaries
1
R^3 coordinate system and Vectors
2
Dot and Cross vector product
3
Equation of the line and plane
4
Arc length & velocity/acceleration
5
Introduction - functions of two variables
6
Functions of two variables: limits, continuity & partial derivatives with applications.
7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24